Basic Study on Concept and Application of Sparse Modeling to Civil Engineering Problems

Yoshida, Ikumasa; Tasaki, Yosuke; Kodama, Shinnosuke; Otake, Yu

doi:10.2208/jscejam.73.i_55

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2021

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“…The expansion coefficients are treated as time-varying variables, and the Chebyshev polynomials are used as spatial functions. The alternating direction method of multipliers (ADMM) (Boyd et al (2010); Yoshida et al (2017);Troop and Wright (2010)) is employed to seek solutions to the L 1 norm convex optimization problem.…”

Section: Introductionmentioning

confidence: 99%

Identification of external force for slender flexible structures via sparse modelling with an under-relaxation scheme

Nishi,

Song,

Qian

2021

IJMIC

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This study proposes a method for identifying unknown external forces that act on slender flexible bodies. In this method, the external force is represented as an expansion in the Chebyshev polynomials. The expansion coefficients are determined to minimize the number of nonzero coefficients and the difference between the measured and estimated quantities. An under-relaxation scheme is applied to enhance the robustness of computations for the identification. Static and dynamic beam problems are solved using the method to examine how well it can reconstruct the external forces. Numerical computations and analyses of the results demonstrate that the method generally produces a satisfactory external force reconstruction, and its accuracy is sensitive to the choice of measuring device.

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Section: Introductionmentioning

confidence: 99%